What is the Least Common Multiple of 2705 and 2714?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 2705 and 2714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2705 and 2714, than apply into the LCM equation.

GCF(2705,2714) = 1
LCM(2705,2714) = ( 2705 × 2714) / 1
LCM(2705,2714) = 7341370 / 1
LCM(2705,2714) = 7341370

Least Common Multiple (LCM) of 2705 and 2714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2705 and 2714. First we will calculate the prime factors of 2705 and 2714.

Prime Factorization of 2705

Prime Factorization of 2714

Now multiplying the highest exponent prime factors to calculate the LCM of 2705 and 2714.

LCM(2705,2714) = 5¹ × 541¹ × 2¹ × 23¹ × 59¹
LCM(2705,2714) = 7341370